268453515625 has 27 divisors (see below), whose sum is σ = 335971995951. Its totient is φ = 214503750000.

The previous prime is 268453515611. The next prime is 268453515661. The reversal of 268453515625 is 526515354862.

The square root of 268453515625 is 518125.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 22512901849 + 245940613776 = 150043^2 + 495924^2 .

It is not a de Polignac number, because 268453515625 - 2⁷ = 268453515497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323827711 + ... + 323828539.

Almost surely, 2^268453515625 is an apocalyptic number.

268453515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268453515625 is the 518125-th square number.

268453515625 is the 259063-rd centered octagonal number.

It is an amenable number.

268453515625 is a deficient number, since it is larger than the sum of its proper divisors (67518480326).

268453515625 is an frugal number, since it uses more digits than its factorization.

268453515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 834 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 52.

The spelling of 268453515625 in words is "two hundred sixty-eight billion, four hundred fifty-three million, five hundred fifteen thousand, six hundred twenty-five".